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Strict topologies as topological algebras
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 433-437 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued bounded continuous functions on $X$ with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally $m$-convex.
Let $X$ be a completely regular Hausdorff space, $C_{b}(X)$ the space of all scalar-valued bounded continuous functions on $X$ with strict topologies. We prove that these are locally convex topological algebras with jointly continuous multiplication. Also we find the necessary and sufficient conditions for these algebras to be locally $m$-convex.
Classification : 28B05, 28C15, 46E10, 46E25, 46G10, 46H05, 46J10
Keywords: strict topologies; locally convex algebras; locally $m$-convex algebras 
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     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_2_a15/}
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Khurana, Surjit Singh. Strict topologies as topological algebras. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 433-437. http://geodesic.mathdoc.fr/item/CMJ_2001_51_2_a15/

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